dwsmith said:Graphics3D[Sphere[{0, 0, 0}]]
How do I add a tangent plane and normal vector to this plot?
I am not opposed to Matlab or Latex either.
A tangent plane is a flat surface that touches a curved surface at one point, without crossing or intersecting it.
A tangent plane is a subset of a normal plane, but it only touches the curved surface at one point, whereas a normal plane crosses the curved surface at multiple points.
The equation for a tangent plane is given by z = f(x,y), where f(x,y) is the function that defines the curved surface at the point of tangency.
A normal vector is a vector that is perpendicular to a surface at a given point. It is used to represent the direction of the surface's normal or perpendicular line.
The normal vector is perpendicular to the tangent plane, and it points in the direction of the surface's normal or perpendicular line at the point of tangency.